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Finding the Fourth Proportional to 66,228.16, 91,407.84 and 37,952.80

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Solution

The fourth proportional to 66,228.16, 91,407.84 and 37,952.80 is: 52,382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,228.16 : 91,407.84 = 37,952.80 : x
  2. Step 2: Convert to fraction form
    66,228.16/91,407.84 = 37,952.80/x
  3. Step 3: Cross multiply
    66,228.16x = 91,407.84 × 37,952.80
  4. Step 4: Simplify right side
    66,228.16x = 3,469,183,469.95
  5. Step 5: Solve for x
    x = 3,469,183,469.95/66,228.16
  6. Step 6: Final answer
    x = 52,382.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.